University:
Santa Ana College
Course:
MATH 170 | Pre-Calculus Mathematics
Academic year:

2023
Views:

278

Pages:

1
Author:

hacedoras1kxy

Math 170 Review Ch. 11 Conics 1) Determine the conic, and then put into standard form and sketch x 2 + 4y 2 − 6x + 16y + 21 = 0 2) Sketch the parabola, state the vertex, focus and equation of the directrix x 2 = −8y (x − 1)2 (y + 3)2 3) Sketch the hyperbola − = 1 State the vertices and foci. 9 16 4) Obtain the equation of the parabola with vertex (2,-3) and focus (2,-4) 5) Find the equation of the ellipse with Foci (±3, 0) and vertices (±5, 0) 6) Graph the hyperbola: 9 y 2 − 16 x 2 = 144 state the vertices, foci and equations of the asymptotes Answers: 1) Ellipse. ( x − 3)2 ( y + 2)2 + =1 4 1 2) Parabola faces down, vertex at (0,0) foci at (0,-2) directrix y = 2 3) Hyperbola faces left/right. Vertices (4,-3) and (-2,-3), foci (6,-3) and (-4,-3) 4) ( x − 2)2 = −4( y + 3) 5) x2 y 2 + =1 25 16 6) Hyperbola faces up/down. Vertices at (0,4) and (0,-4) Foci at (0,5) and (0,-5) 4 Asymptotes at y = ± x 3

Math170 Review 11 Conics

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